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Points: (2, 3) and (5, 7)

Midpoint: (2+5)/2 and (3+7)/2 = (3.5, 5)

Length: square root of (2-5)2+(3-7)2 = 5

Slope: (3-7)/(2-5) = 4/3

Perpendicular slope: -3/4

Equation: y-3 = 4/3(x-2) => 3y = 4x+1

Perpendicular equation: y-5 = -3/4(x-3.5) => 4y = -3x+30.5

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Q: What is the length of the line including its equation and its perpendicular bisector equation that spans the points of 2 3 and 5 7 showing work?
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